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Finding the Fourth Proportional to 125,617.14, 188,444.84 and 78,193.86

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Solution

The fourth proportional to 125,617.14, 188,444.84 and 78,193.86 is: 117,302.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,617.14 : 188,444.84 = 78,193.86 : x
  2. Step 2: Convert to fraction form
    125,617.14/188,444.84 = 78,193.86/x
  3. Step 3: Cross multiply
    125,617.14x = 188,444.84 × 78,193.86
  4. Step 4: Simplify right side
    125,617.14x = 14,735,229,045.71
  5. Step 5: Solve for x
    x = 14,735,229,045.71/125,617.14
  6. Step 6: Final answer
    x = 117,302.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.